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RCBD – Solved Example

RCBD – Solved Example.

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RCBD – Solved Example

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  1. RCBD – Solved Example Six different nutrient medias were applied to the plants in an experiment laid out in randomized complete block design with 4 replication/ blocks. At crop maturity data were recorded from each plot. The sample size from each plot was 10 plants. Each individual plant from each sample was measured for height and average of that sample was considered as average performance of plants for that nutrient media in particular replication.

  2. RCBD – Solved Example • Degrees of freedom • Total df = Total number of experimental units – 1 = 24-1 =23 • Treatment df = total number of treatments – 1= 6 -1 = 5 • Replication df = total number of treatments – 1=4 – 1= 3 • Error df = Treatment df X Replication df = 5 X 3 = 15 Correction Factor (CF) = (grand total)2/(no. of treatment* no. of reps or block) = (740.5)2/ (6*4) = 548340.3/24 = 22847.51 Total sum of square (TSS) = (32.1) 2+ (30.1) 2 + (25.4) 2+ - - - - - - + (26.7) 2–CF = 23323.52 - 22847.51 = 476.01 Replication Sum of square (RSS) = (Total Rep1)2/no.of treats+(Total Rep2) 2 /no.of treats + (Total Rep3)2/no.of treats+(Total Rep4) 2/no.of treats-CF = (161) 2/6 + (183) 2 / 6 + (208.9) 2 /6 + (187.3) 2 /6 = 23021.75 – 22847.51 = 174.24 Treatment Sum of Square (TrSS) = (Total Treat1) 2 / no.of reps+ (Total Treat2) 2 / no.of reps + (Total treat3) 2 / no.of reps+ (Total Treat 4) 2 / no.of reps + (Total Treat5) 2 / no.of reps+(Total Treat6) 2 /no.of reps –CF = (145) 2 /4 + (129.5) 2 /4 + (117.4) 2 /4 + (124.1) 2 /4 + (122.8) 2 /4 + (101.4) 2 /4 –CF = 23085.16 – 22847.51 = 237.64 Error Sum of Squares (ESS) = Total SS- Rep SS - Treatment SS = 476.01 – 174.24 – 237.64 = 64.13 Mean Square Rep (RMS) =RSS/ rep df = 174.24/3 = 58.08 Mean Square Treat (TrMS) =TrSS/ traet df = 237.64/5 = 47.53 Mean Square Error (EMS) =ESS/ (traet df)*(rep df) = 64.13/15 = 4.28 F-Calc (reps) = RMS/ EMS = 58.08/4.28 = 13.59 F-Calc (treats) = TrMS/ EMS = 47.53/4.28 = 11.12

  3. Construction of ANOVA table Analysis of variance for plant height grown on different nutrient supplement

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